### Topological degree and generalized asymmetric oscillators

#### Abstract

We consider periodic perturbations of an

isochronous hamiltonian system in the plane, depending on a parameter,

which generalize the classical asymmetric oscillator. We compute the

associated topological degree, and consider situations where

large-amplitude periodic solutions can arise.

isochronous hamiltonian system in the plane, depending on a parameter,

which generalize the classical asymmetric oscillator. We compute the

associated topological degree, and consider situations where

large-amplitude periodic solutions can arise.

#### Keywords

Periodic solutions; isochronoushmiltonin systems

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